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Finding the Fourth Proportional to 7,219.66, 10,827.19 and 2,288.15

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Solution

The fourth proportional to 7,219.66, 10,827.19 and 2,288.15 is: 3,431.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.66 : 10,827.19 = 2,288.15 : x
  2. Step 2: Convert to fraction form
    7,219.66/10,827.19 = 2,288.15/x
  3. Step 3: Cross multiply
    7,219.66x = 10,827.19 × 2,288.15
  4. Step 4: Simplify right side
    7,219.66x = 24,774,216.08
  5. Step 5: Solve for x
    x = 24,774,216.08/7,219.66
  6. Step 6: Final answer
    x = 3,431.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.